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Finding the Fourth Proportional to 11,811.36, 16,299.76 and 6,775.80

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Solution

The fourth proportional to 11,811.36, 16,299.76 and 6,775.80 is: 9,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.36 : 16,299.76 = 6,775.80 : x
  2. Step 2: Convert to fraction form
    11,811.36/16,299.76 = 6,775.80/x
  3. Step 3: Cross multiply
    11,811.36x = 16,299.76 × 6,775.80
  4. Step 4: Simplify right side
    11,811.36x = 110,443,913.81
  5. Step 5: Solve for x
    x = 110,443,913.81/11,811.36
  6. Step 6: Final answer
    x = 9,350.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.